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zhenek [66]
3 years ago
12

What number must be added to the expression below to complete the square?

Mathematics
2 answers:
DedPeter [7]3 years ago
8 0

Answer:

1/4

Step-by-step explanation:

To complete the square, use the formula (b/2)^2

The Quadratic Formula is: a+bx+c

thus a = x^2, b = -1

You then plug in the numbers in the formula above

(b/2)^2 = (-1/2)^2 = (1/2)^2 =1/4

stiv31 [10]3 years ago
7 0

D. 1/4

Explanation:

a perfect square is written in the form

(x+a)^2 = x^2 + 2ax +a^2 (1)

In our problem, we have this perfect square:

x^2 - x + C (2)

with C being unknown. However, by comparing (1) and (2), we know that

2a=-1

So, we find

a=-\frac{1}{2}

and therefore, the missing term must be

a^2 = \frac{1}{4}

so the complete square is

x^2 -x +\frac{1}{4}

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What number will be on the Y axis in the coordinates (8, 10)
larisa [96]

Answer:

10

Step-by-step explanation:

8 0
2 years ago
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A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches
gizmo_the_mogwai [7]

Answer:

  512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

  h² +8² = 10²

  h² = 100 -64 . . . . . subtract 8²

  h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

  V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

4 0
3 years ago
Helpppppp fastttttttttt
crimeas [40]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
convert 15/9 to a decimal round your answer to the nearest hundred.convert 15/9 to a decimal round your answer to the nearest hu
motikmotik

Answer:

1.67

Step-by-step explanation:

after the decimal we have the

tens

hundreths

thousanths

(usually math doesn't ask you to go farther than the thousanths place)

because 15/9 is 1.66666, you will go to the hundreths place and round that six. Six is one more than five so it gets rounded up. That changes the decimal to 1.67.  You do not change it to 1.7, because it asked you to round to the nearest hundred not the nearest tens

6 0
3 years ago
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What is the slope of line segment AB?<br> A) 2/3<br> B) 3/4<br> C) 4/3<br> D) -3/4
Lunna [17]

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1})and (x_ {2}, y_ {2})are two points through which the line passes.

According to the image we have:

(x_ {1}, y_ {1}): (-5,3)\\(x_ {2}, y_ {2}): (3, -3)

Substituting we have:

m = \frac {-3-3} {3 - (- 5)} = \frac {-6} {3 + 5} = \frac {-6} {8} = - \frac {3} {4}

Thus, the slope of the line is:

m = - \frac {3} {4}

Answer:

m = - \frac {3} {4}

3 0
3 years ago
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